Factoring Dots

Lesson on Factoring GCF and Difference of Two Squares

Multiple Choice

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

Multiple Choice

What is the GCF of 18 and 24?

• 3

• 6

• 8

• 9

Multiple Choice

Factor by GCF:

2a³ - 2a²

• 2a²(a)

• 2a(2a² - a)

• 2a²(a - 1)

• 2a²(a + 1)

Multiple Choice

Factor completely

16p⁴ + 4p³

• 4p³ (4p + 1)

• 4p (4p³ + 1)

• 4p (4p³ + p²)

• 4p⁴ (4p + 4p³)

Multiple Choice

x⁵ + x⁴ + x²

• x³(x² + x + 1)

• x(x⁴ + x³ + x)

• x²(x³ + x²)

• x²(x³ + x² + 1)

Multiple Choice

Factor:

80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

Multiple Select

Which is an example of difference of two squares?

• ( x³ - 4)

• ( x² - 3)

• ( x² + 4)

• ( x² - 4)

Multiple Select

One of the factors of (a ² - 1 ) is

• ( a - 1)

• ( a² + 1)

• Both

• None of the above

Multiple Choice

Factor each completely.

4x² - 9y²

• (2x + 3y) (2x - 3y)

• (-2x + 3y) (2x - 3y)

• ( 2x - 3y) ²

• (3x + 2y) (3x - 2y)

Multiple Choice

Factor each completely.

16k² - 49

• (4k + 7) (4k - 7)

• not factorable

• (4k + 49)²

• (4k + 7) (4k + 7)

Multiple Choice

Factor $$4x^{2\ }-\ 1$$

• $$\left(x\ -\ 1\right)\left(x\ +1\right)$$  

• $$\left(2x\ -\ 1\right)^2$$  

• $$\left(2x\ +\ 1\right)\left(2x\ -\ 1\right)$$  

• $$\left(2x\ +\ 1\right)^2$$  

Multiple Choice

Factor $$b^2\ -\ 121c^2$$

• $$\left(b\ -11c\right)\left(b\ +\ 11c\right)$$  

• $$\left(b\ -11c\right)^2$$  

• $$\left(b-11c\right)\left(b\ -\ 11c\right)$$  

• $$\left(b\ +\ 11c\right)\left(b\ +\ 11c\right)$$  

Multiple Choice

Factor $$x^2\ -\ 25y^2$$  completely

• $$(x+12.5y)(x-12.5y)$$  

• $$(x+5y)(x-5y)$$  

• $$\left(x\ -\ 5y\right)^2$$  

• $$(x+5y)^2$$  

Multiple Choice

Factor each completely.

4x² - 100

• 4 (3x + 1) (3x - 1)

• 16 (-x + 5) (x - 5)

• 4 (x + 5) (x - 5)

• 4 (2x + 5) (2x - 5)

Multiple Choice

4x² + 49y²

• (4x² + 7y²)(4x² - 7y²)

• (2x + 7y)(2x - 7y)

• (2x² + 7y²)(2x² - 7y²)

• Prime

Multiple Choice

4n² - 49

• (2x + 7)(2x - 7)

• (4n + 7)(4n -7)

• Prime

• (2n + 7)(2n - 7)

Multiple Choice

2x² - 18

• 2 (x² - 9)

• 2 (x + 3) (x - 3)

• 2 (x² - 3)

• Prime